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Finding the Fourth Proportional to 14,172.37, 19,549.05 and 10,198.71

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Solution

The fourth proportional to 14,172.37, 19,549.05 and 10,198.71 is: 14,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,172.37 : 19,549.05 = 10,198.71 : x
  2. Step 2: Convert to fraction form
    14,172.37/19,549.05 = 10,198.71/x
  3. Step 3: Cross multiply
    14,172.37x = 19,549.05 × 10,198.71
  4. Step 4: Simplify right side
    14,172.37x = 199,375,053.48
  5. Step 5: Solve for x
    x = 199,375,053.48/14,172.37
  6. Step 6: Final answer
    x = 14,067.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.